Ask question

Ask question

All categories

3 years ago

6

Elton is a candle maker. Each 15 centimeter long candle he makes burns evenly for six hours. If Elton makes a 45 long centimeter

candle, how long will it burn?

2 answers:

Natalija [7]3 years ago

8 0

45/15=3
This is the equivalent of how many candles the 45cm candle is compared to the 15cm candles.
3x6=18
The candle will burn for 18hours.

Lina20 [59]3 years ago

4 0

Answer:

18 hours

Step-by-step explanation:

15 centimeters -> 6 hours

Multiply by 3

45 centimeters -> 18 hours

You might be interested in

Write the point-slope equation of the line that passes through(3,5) and (7,1)

Liono4ka [1.6K]

Answer: y - 1 = –(x –7)

or y –5 = –1(x –3)

The attachment shows the graph of these equations (identical)

Step-by-step explanation:

The basic form for a point-slope equation is

y - b = m(x - a)

a is the x-value from the given coordinate, b is the y-value form the given coordinate, m is the slope. x and y are the variables in the function.

To find the slope, m, use the given coordinates. Get the difference in the y-values and divide by the difference in the x-values. This is "rise over run."

Subtract the first coordinate from the second coordinate.

Given coordinate points: (3,5) and (7,1) substitute values:

m= 1 –5 / 7 –3 becomes m= –4/4 so the slope, m = –4/4

That is –1 The "1" is "understood," so only the negative sign represents the slope in the equation

To write the equation: Take the basic form, substitute b and a values from either given coordinate. And use the value of m we just calculated.

y - b = m(x - a) Using the second coordinate: (7,1)

y - 1 = –(x –7)

or using the first coordinate:

y –5 = –(x –3)

5 0

3 years ago

Which shows the image of rectangle ABCD after the rotation (x,y) - (-y,x)?

serious [3.7K]

Answer: A

Step-by-step explanation:

3 0

4 years ago

Read 2 more answers

Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y = 7x6, y

IgorC [24]

Answer:

The volume is $\frac{490\pi}{39}$ cubic units.

Step-by-step explanation:

The given curve is

$y=7x^6$

The given line is

$y=7x$

Equate both the functions to find the intersection point of both line and curve.

$7x^6=7x$

$7x^6-7x=0$

$7x^6-7x=0$

$7x(x^5-1)=0$

$7x=0\rightarrow x=0$

$x^5-1=0\rightarrow x=1$

According to washer method:

$V=\pi \int_{a}^{b}[f(x)^2-g(x)^2]dx$

Using washer method, where a=0 and b=1, we get

$V=\pi \int_{0}^{1}[(7x)^2-(7x^6)^2]dx$

$V=\pi \int_{0}^{1}[49x^2-49x^{12}]dx$

$V=49\pi \int_{0}^{1}[x^2-x^{12}]dx$

$V=49\pi [\frac{x^3}{3}-\frac{x^{13}}{13}]_0^1$

$V=49\pi [\frac{1^3}{3}-\frac{1^{13}}{13}-(0-0)]$

$V=49\pi [\frac{1}{3}-\frac{1}{13}]$

$V=49\pi (\frac{13-3}{39})$

$V=49\pi (\frac{10}{39})$

$V=\frac{490\pi}{39}$

Therefore the volume is $\frac{490\pi}{39}$ cubic units.

5 0

3 years ago

A new fertilizer was applied to the soil of 146 bean plants. 23% showed increased growth. Find the margin of error and 95% confi

USPshnik [31]

Answer:

The significance level for this case would be $\alpha=1-0.95=0.05$ and the critical value for this case would be:

$z_{\alpha/2}=1.96$

The margin of error is given by:

$ME = z_{\alpha/2} \sqrt{\frac{\hat p (1-\hat p)}{n}}$

And replacing we got:

$ME = 1.96 \sqrt{\frac{0.23*(1-0.23)}{146}} =0.0683$

And the margin of error for this case would be $ME = 0.07$

Step-by-step explanation:

For this case we have the following dataset given:

$n= 146$ represent the sample size

$\hat p =0.23$ represent the estimated proportion of interest

$Conf=0.95$ represent the confidence level

The significance level for this case would be $\alpha=1-0.95=0.05$ and the critical value for this case would be:

$z_{\alpha/2}=1.96$

The margin of error is given by:

$ME = z_{\alpha/2} \sqrt{\frac{\hat p (1-\hat p)}{n}}$

And replacing we got:

$ME = 1.96 \sqrt{\frac{0.23*(1-0.23)}{146}} =0.0683$

And the margin of error for this case would be $ME = 0.07$

4 0

3 years ago

A pharmaceutical company is testing a new antibiotic. The number of bacteria

astraxan [27]

Answer:

R(n)=100,000(0.5)^n

Step-by-step explanation:

8 0

3 years ago